Answer:
1.) Y = 5/3 X + 4
2.) Y = 9/4 X - 27/4
Step-by-step explanation:
Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is
Y = MX + C
Where the
Slope M = 5/3
Coordinate = (-3,-1) in which
X = -3, Y = -1
Substitute X, Y and M into the general linear equation to achieve C
-1 = 5/3(-3) + C
-1 = - 5 + C
C = 5 - 1
C = 4
Substitute C and M back into the general linear equation.
Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be
Y = 5/3 X + 4
2.) Also,
Slope M = 9/4
Coordinate = (3,0) where X = 3, Y = 0
Substitute X, Y and M into the general linear equation to obtain C
0 = 9/4 (3) + C
C = - 27/4
Substitutes C and M back into the general linear equation
Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)
Y = 9/4 X - 27/4
Answer:
m=31/2, n=-24. (31/2, -24).
Step-by-step explanation:
2m+n=7
4m+3n=-10
-------------------
n=7-2m
4m+3(7-2m)=-10
4m+21-6m=-10
-2m=-10-21
-2m=-31
2m=31
m=31/2
2(31/2)+n=7
31+n=7
n=7-31
n=-24
Answer:
1.(5) (s) this indicates multiplication
2.(3) (m) (m)
3.(1/2) (a)
4.(g) (p)
5. (2) (x^2) (y^3)
6.(1/5) (x^2) (y)
7. 17 is the coefficient and 4 terms
8. 0 coefficient and 2 terms
9. 12 is the coefficient and 3 terms
10. 7 is the coefficient and 2 terms
11. 3 and 2 are coefficient and 1 terms
12. 15,11,-12, 20 are coefficient and 5 terms
Let's represent the number of hours with the variable 'h' (or whatever letter you want it to be):
265 + 48h = 553
Substract both sides by 265:
48h = 288
Divide:
h = 6
6 hours of labor was spent
As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule
